Gov. John Bel Edwards’ administration sought Monday to tamp down widespread speculation that a change in leadership is imminent at the Louisiana State Police, an agency that has been plunged into turmoil in recent weeks amid an FBI investigation of improper political contributions and revelations that four troopers charged taxpayers for a lavish road trip to Las Vegas and the Grand Canyon.

But there were mounting indications that Col. Mike Edmonson, the longtime State Police superintendent, remained in limbo, and officials said little to suggest he will continue to lead the agency in the long term.

Outside pressure has mounted for Edmonson to step aside following revelations that troopers earned thousands of dollars in overtime last year — and billed expensive hotel rooms to state credit cards — as they drove to a law enforcement conference in San Diego…